Chapter 2: Q29. (page 98)

Graph each inequality.
$|x + y| > 1$ .

Short Answer

Expert verified

The graph of the inequality is shown below:

Step by step solution

– Find the boundary line equation of the given equation.

Consider the inequality $|x + y| > 1$ .

The boundary line equaton is $|x + y| = 1$ .

Here the inequality is $>$ , graph the boundary line as a dashed line.

– Choose a test point and test the inequality.

Choose the test point as $(0, 0) .$

Substitute $x = 0, y = 0$ in $|x + y| > 1$ :

role="math" localid="1646588540002" $\begin{array}{l} |x + y| > 1 \\ |0 + 0| > 1 substitute0for x, 0 for y \\ 0 > 1 false \end{array}$

– Conclusion

Since, $0 > 1$ results a false inequality, so, shade the region that does not contains the point $(0, 0) .$

Graphical representation of $|x + y| > 1$ :

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Column A	Column B
The x-coordinate of point Q	The y-coordinate of point P

Column A	Column B
the average (arithmetic mean) of three integers x, y, z and 29	30

Graph each inequality.
$|x + y| > 1$ .

Short Answer

Step by step solution

– Find the boundary line equation of the given equation.

– Choose a test point and test the inequality.

– Conclusion

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Graph each inequality.x+y>1.

Short Answer

Step by step solution

– Find the boundary line equation of the given equation.

– Choose a test point and test the inequality.

– Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Graph each inequality.
$|x + y| > 1$ .